Having stated their intention to rebuild by ending Kevin Pietersen's international career, the England and Wales Cricket Board began that process in earnest by summoning the Worcestershire all-rounder Moeen and the Lancashire spinner Parry.
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They form part of a 15-man squad for next month's tournament. The same group is in place for the warm-up trip to Barbados and Antigua, with the Nottinghamshire seamer Gurney on hand as an additional bowler.
Moeen, 26, is primarily a batting all-rounder and has seemed on the cusp of an England call-up for the last couple of years. He is the primary beneficiary of Pietersen's absence while Parry, 28, profits from Graeme Swann's retirement.
England have not yet settled on a spin bowling replacement but Scott Borthwick, Danny Briggs and Simon Kerrigan have not taken the chances that have come their way in the last six months, leaving the way clear for slow left-armer Parry.
Meanwhile, Prime Minister David Cameron yesterday joined the debate over the ousting of Petersen, saying there was a "powerful argument" for keeping him in the side.
Speaking on BBC Radio Lancashire, Cameron stressed it was a decision for the selectors but expressed sympathy with the views of the television presenter Piers Morgan, who has been leading criticism of the move.
"I am an enormous fan of Kevin Pietersen and I have had some of my most enjoyable times watching him tonking the ball all over the park," Cameron said. "His average is remarkable. But I will let the England selectors pick the team, I think I had better stay out of this one."
Asked whether Cameron was supportive of the England captain, Alastair Cook, an official spokesman told a Westminster media briefing: "Whenever an England team takes the field, the Prime Minister is absolutely right behind them and their captain, of course."